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Finding the Fourth Proportional to 21,405.60, 32,114.32 and 8,931.49

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Solution

The fourth proportional to 21,405.60, 32,114.32 and 8,931.49 is: 13,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.60 : 32,114.32 = 8,931.49 : x
  2. Step 2: Convert to fraction form
    21,405.60/32,114.32 = 8,931.49/x
  3. Step 3: Cross multiply
    21,405.60x = 32,114.32 × 8,931.49
  4. Step 4: Simplify right side
    21,405.60x = 286,828,625.32
  5. Step 5: Solve for x
    x = 286,828,625.32/21,405.60
  6. Step 6: Final answer
    x = 13,399.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.